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Simplifying 5m + 7 + 3(4m + -3) = 3(m + 3) Reorder the terms: 5m + 7 + 3(-3 + 4m) = 3(m + 3) 5m + 7 + (-3 * 3 + 4m * 3) = 3(m + 3) 5m + 7 + (-9 + 12m) = 3(m + 3) Reorder the terms: 7 + -9 + 5m + 12m = 3(m + 3) Combine like terms: 7 + -9 = -2 -2 + 5m + 12m = 3(m + 3) Combine like terms: 5m + 12m = 17m -2 + 17m = 3(m + 3) Reorder the terms: -2 + 17m = 3(3 + m) -2 + 17m = (3 * 3 + m * 3) -2 + 17m = (9 + 3m) Solving -2 + 17m = 9 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -2 + 17m + -3m = 9 + 3m + -3m Combine like terms: 17m + -3m = 14m -2 + 14m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 -2 + 14m = 9 + 0 -2 + 14m = 9 Add '2' to each side of the equation. -2 + 2 + 14m = 9 + 2 Combine like terms: -2 + 2 = 0 0 + 14m = 9 + 2 14m = 9 + 2 Combine like terms: 9 + 2 = 11 14m = 11 Divide each side by '14'. m = 0.7857142857 Simplifying m = 0.7857142857
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